Wireless Networks

, Volume 25, Issue 2, pp 837–844 | Cite as

Outage analysis for simultaneous wireless information and power transfer in dual-hop relaying networks

  • Kang SongEmail author
  • Baofeng Ji
  • Chunguo Li
  • Luxi Yang


Energy harvesting (EH) is believed to be a promising technology in next generation wireless networks due to its potential to extend the working time for uncharged nodes and improve the user experience. We investigate the outage performance of dual-hop decode-and-forward relay networks, where EH from wireless signals is considered at the relay node. Then, we derive the cumulative distribution function of the received SNRs. We also formulate the relationship among the outage probability, full EH slots and the power splitting factor by deriving the asymptotic expressions of the outage probability of our system. Simulation results closely match with our theoretical analysis.


Decode-and-forward Energy harvesting Outage performance Power splitting 



This work was supported by the National High Technology Research and Development Program of China under Grant 2015AA01A703, National Natural Science Foundation of China under Grants 61671144, 61372101, U1404615, Natural Science Foundation of Shandong Province under Grant ZR2017BF028, Nation Thirteen Five National Defense Fund under Grant 61403110302, Project of Education Department Cooperation Cultivation under Grant 201602011005, China Post Doctoral Science Foundation under Grant 2015M571637, Open Funds of State Key Laboratory of Millimeter Wave under Grant K201504, Open Funds of Key Laboratory of Middle Atmosphere and Global Environment Observation, Funding of Support Excellent Young Professor for Teaching and Research in Southeast University.


  1. 1.
    Zhang, S., & Liew, S.-C. (2009). Channel coding and decoding in a relay system operated with physical-layer network coding. IEEE Journal on Selected Areas in Communications, 27(5), 788–796.CrossRefGoogle Scholar
  2. 2.
    Sun, F., De Carvalho, E., Popovski, P., & Thai, C. D. T. (2012). Coordinated direct and relay transmission with linear non-regenerative relay beamforming. IEEE Signal Processing Letters, 19(10), 680–683.CrossRefGoogle Scholar
  3. 3.
    Liu, P., Gazor, S., & Kim, I.-M. (2014). A practical differential receiver for amplify-and-forward relaying. IEEE Wireless Communications Letters, 3(4), 349–352.CrossRefGoogle Scholar
  4. 4.
    Xing, C., Ma, S., Fei, Z., Yik-Chung, W., & Poor, H. V. (2013). A general robust linear transceiver design for multi-hop amplify-and-forward mimo relaying systems. IEEE Transactions on Signal Processing, 61(5), 1196–1209.MathSciNetCrossRefzbMATHGoogle Scholar
  5. 5.
    Dai, M., Zhang, S., Wang, H., Chen, B. Lin, X., Liu, H., & Zhang, L. (2014). Network-coded relaying in multiuser multicast D2D network. International Journal of Antennas and Propagation, 2014(5), 1–7.CrossRefGoogle Scholar
  6. 6.
    Xing, C., Gao, F., & Zhou, Y. (2015). A framework for transceiver designs for multi-hop communications with covariance shaping constraints. IEEE Transactions on Signal Processing, 63(15), 3930–3945.MathSciNetCrossRefzbMATHGoogle Scholar
  7. 7.
    Song, K., Ji, B., Huang, Y., Xiao, M., & Yang, L. (2017). Performance analysis of heterogeneous networks with interference cancellation. IEEE Transactions on Vehicular Technology, 66(8), 6969–6981.CrossRefGoogle Scholar
  8. 8.
    Dai, M., Wang, H., Lin, X., Zhang, S., & Chen, B. (2014). Opportunistic relaying with analogue and digital network coding for two-way parallel relay network. IET Communications, 8(12), 2200–2206.CrossRefGoogle Scholar
  9. 9.
    Salhab, A. M., Al-Qahtani, F., Zummo, S. A., & Alnuweiri, H. (2013). Outage analysis of nth-best DF relay systems in the presence of CCI over rayleigh fading channels. IEEE Communications Letters, 17(4), 697–700.CrossRefGoogle Scholar
  10. 10.
    Aydın, İ., & Aygölü, Ü. (2015). Performance analysis of a multihop relay network using distributed alamouti code. Wireless Networks, 21(1), 217–226.CrossRefGoogle Scholar
  11. 11.
    Chinaei, M. J., Omidi, M. J., Kazemi, J., & Tabataba, F. S. (2016). Energy efficiency optimization of one-way and two-way df relaying considering circuit power. Wireless Networks, 22(2), 367–381.CrossRefGoogle Scholar
  12. 12.
    Wan, Z. G., Tan, Y. K., & Yuen, C. (2011). Review on energy harvesting and energy management for sustainable wireless sensor networks. In IEEE International Conference on Communication Technology (ICCT), pp. 362–367.Google Scholar
  13. 13.
    Zhao, N., Yu, F. R., & Leung, V. C. M. (2015). Opportunistic communications in interference alignment networks with wireless power transfer. IEEE Wireless Communications, 22(1), 88–95.CrossRefGoogle Scholar
  14. 14.
    Zhao, N., Yu, F. R., & Leung, V. C. M. (2015). Wireless energy harvesting in interference alignment networks. IEEE Communications Magazine, 53(6), 72–78.CrossRefGoogle Scholar
  15. 15.
    Xing, C., Wang, N., Ni, J., Fei, Z., & Kuang, J. (2013). MIMO beamforming designs with partial CSI under energy harvesting constraints. IEEE Signal Processing Letters, 20(4), 363–366.CrossRefGoogle Scholar
  16. 16.
    Lee, S., Zhang, R., & Huang, K. (2013). Opportunistic wireless energy harvesting in cognitive radio networks. IEEE Transactions on Wireless Communications, 12(9), 4788–4799.CrossRefGoogle Scholar
  17. 17.
    Liu, L., Zhang, R., & Chua, K. C. (2013). Wireless information transfer with opportunistic energy harvesting. IEEE Transactions on Wireless Communications, 12(1), 288–300.CrossRefGoogle Scholar
  18. 18.
    Hossain, E., Rasti, M., Tabassum, H., & Abdelnasser, A. (2014). Evolution toward 5G multi-tier cellular wireless networks: An interference management perspective. IEEE Wireless Communications, 21(3), 118–127.CrossRefGoogle Scholar
  19. 19.
    Zhang, R., & Ho, C. K. (2013). MIMO broadcasting for simultaneous wireless information and power transfer. IEEE Transactions on Wireless Communications, 12(5), 1989–2001.CrossRefGoogle Scholar
  20. 20.
    Shi, Q., Liu, L., Xu, W., & Zhang, R. (2014). Joint transmit beamforming and receive power splitting for miso swipt systems. IEEE Transactions on Wireless Communications, 13(6), 3269–3280.CrossRefGoogle Scholar
  21. 21.
    Huang, C., Zhang, R., & Cui, S. (2013). Throughput maximization for the gaussian relay channel with energy harvesting constraints. IEEE Journal on Selected Areas in Communications, 31(8), 1469–1479.CrossRefGoogle Scholar
  22. 22.
    Huang, C., Zhang, R., & Cui, S. (2014). Optimal power allocation for outage probability minimization in fading channels with energy harvesting constraints. IEEE Transactions on Wireless Communications, 13(2), 1074–1087.CrossRefGoogle Scholar
  23. 23.
    Liu, P., Gazor, S., Kim, I. M., & Kim, D. I. (2015). Energy harvesting noncoherent cooperative communications. IEEE Transactions on Wireless Communications, 14(12), 6722–6737.CrossRefGoogle Scholar
  24. 24.
    Liu, P., Gazor, S., Kim, I. M., & Kim, D. I. (2015). Noncoherent relaying in energy harvesting communication systems. IEEE Transactions on Wireless Communications, 14(12), 6940–6954.CrossRefGoogle Scholar
  25. 25.
    Yang, Z., Ding, Z., Fan, P., & Karagiannidis, G. K. (2016). Outage performance of cognitive relay networks with wireless information and power transfer. IEEE Transactions on Vehicular Technology, 65(5), 3828–3833.CrossRefGoogle Scholar
  26. 26.
    Chu, Z., Johnston, M., & Le Goff, S. (2015). SWIPT for wireless cooperative networks. Electronics Letters, 51(6), 536–538.CrossRefGoogle Scholar
  27. 27.
    Gradshteĭn, I. S., Ryzhik, I. M., Jeffrey, A., & Zwillinger, D. (2007). Table of integrals, series and products. New York: Academic.Google Scholar

Copyright information

© Springer Science+Business Media, LLC 2017

Authors and Affiliations

  1. 1.School of Electronic and Information EngineeringQingdao UniversityQingdaoChina
  2. 2.Electronic and Information Engineering CollegeHenan University of Science and TechnologyLuoyangChina
  3. 3.Institute of Atmospheric Physics, Chinese Academy of SciencesBeijingChina
  4. 4.School of Information Science and EngineeringSoutheast UniversityNanjingChina

Personalised recommendations